FIND THE GREATEST FOUR DIGIT NUMBER WHICH WHEN DIVIDED BY 6,12,16 LEAVES THE REMAINDER 2 IN EVERY CASE

• 9986
  
  LCM of 6, 12, 16 is 48.
  Greatest 4 digit multiple of 48 = (48x208) = 9984
  So required number = 9984+2 = 9986
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